What is 98/27 Divided By 2/3

Answer: 9827÷23\frac{98}{27}\div\frac{2}{3} = 499\frac{49}{9}

Solving 9827÷23\frac{98}{27}\div\frac{2}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

9827÷23=9827×32\frac{98}{27} \div \frac{2}{3} = \frac{98}{27} \times \frac{3}{2}

  • Multiply the Numerators: 98×3=29498 \times 3 = 294
  • Multiply the Denominators: 27×2=5427 \times 2 = 54
  • Form the New Fraction: 9827×23=29454\frac{98}{27} \times \frac{2}{3} = \frac{294}{54}

Let's Simplify 29454\frac{294}{54}

  • Find the Greatest Common Divisor (GCD) of 294294 and 5454. The GCD of 294294 and 5454 is 66.
  • Divide both the numerator and the denominator by the GCD:294÷654÷6=499\frac{294 \div 6}{54 \div 6} = \frac{49}{9}

Answer 9827÷23=499\frac{98}{27}\div\frac{2}{3} = \frac{49}{9}


The following animation demonstrates the divide-by,

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